GCF of 123 and 99

What is the GCF of 123 and 99?

GCF of 123 and 99

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 123 and 99? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 123 and 99 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 123.
    3, 41
  2. Find the prime factors of the second number 99.
    3, 3, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 123.
    1, 3, 41, 123
  2. Find the factors of the second number 99.
    1, 3, 9, 11, 33, 99
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 123 and 99 is 3.

GCD (Greatest Common Divisor) of 123 and 99 is 3.

HCF (Highest Common Factor) of 123 and 99 is 3.

Number GCF LCM
123 & 94 1 11562
123 & 95 1 11685
123 & 96 3 3936
123 & 97 1 11931
123 & 98 1 12054
123 & 99 3 4059
123 & 100 1 12300
123 & 101 1 12423
123 & 102 3 4182
123 & 103 1 12669
123 & 104 1 12792
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